(updated reason for my answer) |
|||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 7: | Line 7: | ||
'''[[Signals_and_systems_practice_problems_list|Practice Question on "Signals and Systems"]]''' | '''[[Signals_and_systems_practice_problems_list|Practice Question on "Signals and Systems"]]''' | ||
</font size> | </font size> | ||
| + | |||
| + | |||
| + | [[Signals_and_systems_practice_problems_list|More Practice Problems]] | ||
| + | |||
Topic: System Invertibility | Topic: System Invertibility | ||
| Line 12: | Line 16: | ||
---- | ---- | ||
==Question== | ==Question== | ||
| + | |||
The input x(t) and the output y(t) of a system are related by the equation | The input x(t) and the output y(t) of a system are related by the equation | ||
| Line 22: | Line 27: | ||
---- | ---- | ||
===Answer 1=== | ===Answer 1=== | ||
| − | + | yes, as two inputs do not necessarily yield the same output. If it was x(t^2) then sure, but it's x^2 (t) | |
| + | -wade | ||
===Answer 2=== | ===Answer 2=== | ||
Write it here. | Write it here. | ||
Latest revision as of 16:37, 10 March 2021
Practice Question on "Signals and Systems"
Topic: System Invertibility
Question
The input x(t) and the output y(t) of a system are related by the equation
$ y(t)=x^2(t) $
Is the system invertible (yes/no)? If you answered "yes", find the inverse of this system. If you answered "no", give a mathematical proof that the system is not invertible.
You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!
Answer 1
yes, as two inputs do not necessarily yield the same output. If it was x(t^2) then sure, but it's x^2 (t) -wade
Answer 2
Write it here.
Answer 3
Write it here.
Click here for more practice problems on Signals and Systems.
Click here for a comprehensive list of all Rhea pages in the "problem solving" category.
